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86937088 = 297127191
BaseRepresentation
bin1010010111010…
…00111000000000
320001120212021011
411023220320000
5134223441323
612343210304
72103644620
oct513507000
9201525234
1086937088
114508a137
1225146994
131501ba84
14b790880
15797420d
hex52e8e00

86937088 has 80 divisors (see below), whose sum is σ = 201129984. Its totient is φ = 36771840.

The previous prime is 86937083. The next prime is 86937089. The reversal of 86937088 is 88073968.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86937083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455073 + ... + 455263.

Almost surely, 286937088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86937088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564992).

86937088 is an abundant number, since it is smaller than the sum of its proper divisors (114192896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86937088 is a wasteful number, since it uses less digits than its factorization.

86937088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 86937088 is about 9324.0060060041. The cubic root of 86937088 is about 442.9979294914.

The spelling of 86937088 in words is "eighty-six million, nine hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 191 224 254 256 382 448 508 512 764 889 896 1016 1337 1528 1778 1792 2032 2674 3056 3556 3584 4064 5348 6112 7112 8128 10696 12224 14224 16256 21392 24257 24448 28448 32512 42784 48514 48896 56896 65024 85568 97028 97792 113792 169799 171136 194056 227584 339598 342272 388112 455168 679196 684544 776224 1358392 1552448 2716784 3104896 5433568 6209792 10867136 12419584 21734272 43468544 86937088